12200221211012 has 72 divisors (see below), whose sum is σ = 22746828535368. Its totient is φ = 5724418867200.

The previous prime is 12200221210987. The next prime is 12200221211023. The reversal of 12200221211012 is 21011212200221.

12200221211012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 58508836996 + 12141712374016 = 241886^2 + 3484496^2 .

It is a super-3 number, since 3×12200221211012³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1588359812 + ... + 1588367492.

Almost surely, 2^{12200221211012} is an apocalyptic number.

It is an amenable number.

12200221211012 is a deficient number, since it is larger than the sum of its proper divisors (10546607324356).

12200221211012 is a wasteful number, since it uses less digits than its factorization.

12200221211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11577 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12200221211012 its reverse (21011212200221), we get a palindrome (33211433411233).

The spelling of 12200221211012 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, two hundred eleven thousand, twelve".